Advertisements
Advertisements
प्रश्न
Draw two concentric circles with radii 4 cm and 6 cm. Taking a point on the outer circle, construct a pair of tangents to inner circle. By measuring the lengths of both the tangents, show that they are equal to each other.
Advertisements
उत्तर
Steps for construction:
- Draw concentric circles of radius 4 cm and 6 cm with centre of O.
- Take point P on the outer circle.
- Join OP.
- Draw perpendicular bisectors of OP where M is the midpoint of OP.
- Take a distance of a point O from the point M and mark arcs from M on the inner circle it cuts at point A and B respectively.
- Join PA and PB.
- We observe that PA and PB are tangents from outer circle to inner circle are equal of a length 4.5 cm each.
APPEARS IN
संबंधित प्रश्न
Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Give the justification of the construction.
Construct a tangent to a circle of radius 4 cm from a point on the concentric circle of radius 6 cm and measure its length. Also, verify the measurement by actual calculation.
Draw a circle of radius 4 cm and take a point Pon its circumference. Construct a tangent to the circle at P.
Draw a circle with centre O and radius 2.5 cm. Take a point P at a distance of 6 cm from the centre. Using ruler and compasses only construct the tangents to the circle from the point P.
Draw two circles of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length.
Draw a circle of radius 3 cm. Construct a square about the circle.
Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.
There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?
Draw a circle of radius 2.5 cm. Construct a pair of tangents from a point Pat a distance of 6 cm from the centre of the circle.
Using ruler and compass construct a triangle ABC in which AB = 6 cm, ∠BAC = 120° and AC = 5 cm. Construct a circle passing through A, B and C. Measure and write down the radius of the circle.
